Modelling and Simulation

• 39 hrs lectures
• 4 hrs exercises
• 9 hrs projects

• 70 pts final exam (written part)
• 10 pts mid-term test (written part)
• 20 pts projects

Knowledge of simulation principles. The ability to create simulation models of various types. Basic knowledge of simulation system principles.

The goal is to introduce students to basic simulation methods and tools for modelling and simulation of continuous, discrete and combined systems.

• Algorithms (IAL)
• Signals and Systems (ISS)
• Introduction to Programming Systems (IZP)

Basic knowledge of numerical mathematics, probability, statistics, and basics of programming.

• Fishwick P.: Simulation Model Design and Execution, PrenticeHall, 1995, ISBN 0-13-098609-7 Law A., Kelton D.: Simulation Modelling and Analysis, McGraw-Hill, 1991, ISBN 0-07-100803-9 Ross, S.: Simulation, Academic Press, 2002, ISBN 0-12-598053-1

1. Introduction to modelling and simulation. System analysis, classification of systems. Systems theory basics.
2. Model classification: conceptual, abstract, and simulation models. Multimodels. Basic methods of model building.
3. Simulation systems and languages, basic means of model and experiment description. Principles of simulation system implementation.
4. Generating, transformation, and testing of pseudorandom numbers. Stochastic models, Monte Carlo methods.
5. Parallel process modelling. Using Petri nets in simulation.
6. Models o queuing systems. Discrete simulation models.
7. Time and simulation experiment control, "next-event" algorithm.
8. Continuous systems modelling. Overview of numerical methods used for continuous simulation. Introduction to Dymola simulation system.
9. Combined/hybrid simulation. Modelling of digital systems.
10. Special model classes, models of heterogeneous systems. Model optimization.
11. Analytical solution of queuing system models.
12. Cellular automata and simulation.
13. Checking of model validity, verification of models. Analysis of simulation results. Visualization of simulation results.

1. discrete simulation: using Petri nets
2. continuous simulation: differential equations, block diagrams, examples of models

At least 10 points you can get during the semester

Within this course, attadance on the lectures is not monitored. The knowledge of students is examined by the projects and by the final exam. The minimal number of points which can be obtained from the final exam is 30. Otherwise, no points will be assigned to a student.